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Finding the Fourth Proportional to 211.86, 318.30 and 179.70

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Solution

The fourth proportional to 211.86, 318.30 and 179.70 is: 269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 318.30 = 179.70 : x
  2. Step 2: Convert to fraction form
    211.86/318.30 = 179.70/x
  3. Step 3: Cross multiply
    211.86x = 318.30 × 179.70
  4. Step 4: Simplify right side
    211.86x = 57,198.51
  5. Step 5: Solve for x
    x = 57,198.51/211.86
  6. Step 6: Final answer
    x = 269.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.